For an employee to qualify for early retirement at a certain company, the sum of the employee’s ...

For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 72, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement.

Quiz

Answer/Solution

(72+K)/2

Steps/Work

Let y be the years of service at the company.
After y years of service, Sue's age will be K + y.
Sue can retire when (K+y) + y = 72
y = (72 - K)/2
Then Sue's age will be K + y = K + (72 - K)/2 = (72+K) / 2
The answer is C.